Pengaruh Proses Pembasahan Terhadap Parameter Kuat Geser câ, Ïâ DAN Ïb Tanah Lanau Berpasir Tak Jenuh.
PENGARUH PROSES PEMBASAHAN TERHADAP
PARAMETER KUAT GESER c’, ϕ’ DAN ϕb TANAH
LANAU BERPASIR TAK JENUH
Mentari Surya Pratiwi
NRP : 0921017
Pembimbing : Ir. Asriwiyanti Desiani, M.T.
ABSTRAK
Pada dasarnya, kondisi tanah di alam tidaklah selalu dalam keadaan jenuh.
Siklus pembasahan dan pengeringan yang terjadi berulang–ulang mempengaruhi
sifat–sifat fisik tanah dan karakteristik mekanik tanah antara lain perubahan kadar
air dalam tanah, perubahan kuat geser, dan perubahan matric suction.
Untuk mengetahui perubahan karakteristik tanah dan sifat mekaniknya
dilakukan penelitian tanah akibat pengaruh proses pembasahan atau penambahan
kadar air dari kondisi initial (wi) hingga dicapai kondisi wi + 10% wi, wi + 12% wi,
wi + 15% wi dan sampai kondisi jenuh, yang diwakilkan oleh tanah yang diambil
dari daerah Lapangan Maranatha. Tanah yang akan digunakan sebagai benda uji
diambil pada kedalaman 1 meter dari permukaan tanah, dan alat yang digunakan
adalah Direct Shear. Dari penelitian ini diharapkan dapat memberikan gambaran
kondisi tanah permukaan setelah mengalami proses pembasahan dan mengetahui
hubungan antara kondisi tanah dan kuat gesernya.
Hasil analisa pengujian tentang pengaruh proses pembasahan dan
perhitungan yang sudah dilakukan, memperlihatkan bahwa contoh tanah uji yang
diambil merupakan tanah lanau berpasir. Proses pembasahan terhadap tanah uji di
laboratorium pada kondisi initial (wi) hingga kondisi jenuh dengan lama
pemeraman 1 hari, memperlihatkan bahwa parameter fisik seperti kadar air (w)
meningkat 31.27%, angka pori (e) meningkat 4.79%, porositas (n) meningkat
1.59%, berat volume (γ) meningkat 7.24% dan derajat kejenuhan (Sr) meningkat
25.52%. Nilai matric suction (ua – uw) mengalami penurunan sebesar 60.51% dari
kondisi initial (wi) sampai kondisi wi + 15%wi. Sedangkan pada kondisi initial (wi)
hingga kondisi jenuh, diketahui bahwa parameter kuat geser tanah seperti kohesi
(c) menurun 37.41%, sudut geser dalam (ϕ’) menurun 25.98% dan sudut antara
cohesion intercept dengan matric suction (ϕb) menurun 95.89% dari kondisi initial
(wi) sampai kondisi wi + 15%wi.
Kata Kunci : Index Properties, Kadar Air, Kohesi, Sudut Geser Dalam,
Matric Suction, Tanah Tak Jenuh.
ix
THE INFLUENCE OF WETTING PROCESS AGAINST
SHEAR STRENGTH PARAMETER c’, ϕ’ AND ϕb OF
UNSATURATED SANDY SILT SOIL
Mentari Surya Pratiwi
NRP : 0921017
Supervisor
: Ir. Asriwiyanti Desiani, MT.
ABSTRACT
Basically, the soil conditions in nature are not always in a state of
saturation. Cycles of wetting and drying that occurs repeatedly affect soil physical
properties and characteristics of soil mechanics among others, changes in soil
moisture content, shear strength, and changes in matric suction.
To determine the changes in soil characteristics and mechanical
properties of soil research carried out under the influence of the wetting process
or adding moisture from initial (wi) condition to achieve wi + 10% wi’s condition,
wi + 12% wi, wi + 15% wi and up to saturated, which is represented by the land
taken from the field of Maranatha. The soil to be used as a test specimen taken at
a depth of 1 meter from the ground, and the tools used are Direct Shear. Of the
research is expected to provide an overview of surface soil condition after
experiencing wetting processes and determine the relationship between soil
conditions and shear strength.
From the analysis of the influence of the wetting tests and calculations
have been done, it is known that the test soil samples taken are sandy elastic silt
soil. The wetting process of the soil in the laboratory tests from the initial
conditions (wi) to saturated conditions with ripening periode 1 day, it is known
that physical parameters such as water content (w) increased 31.27%, void ratio
(e) increased 4.79%, porosity (n) increases 1.59%, unit weight of soil (γ) 7.24%
and the degree of saturation (Sr) increased 25.52%. For matric suction (ua – uw)
value decreased by 60.51% from the initial condition (wi) until the condition wi +
15% wi. While in the initial conditions (wi) to saturated conditions, it is known
that soil shear strength parameters such as cohesion (c) decreased 37.41%, the
friction angle (ϕ’) decreased 25.98% and the angle between the cohesion
intercept with matric suction (ϕb) decreased 95.89% from the initial condition (wi)
to condition wi + 15% wi.
Keywords
: Index Properties, Water Content, Cohesion, Friction Angle,
Matric Suction, Unsaturated Soils.
x
DAFTAR ISI
HALAMAN JUDUL ............................................................................................... i
LEMBAR PENGESAHAN ................................................................................... ii
PERNYATAAN ORISINALITAS LAPORAN TUGAS AKHIR ....................... iii
PERNYATAAN PUBLIKASI LAPORAN PENELITIAN .................................. iv
SURAT KETERANGAN TUGAS AKHIR .......................................................... v
SURAT KETERANGAN SELESAI TUGAS AKHIR ........................................ vi
KATA PENGANTAR ......................................................................................... vii
ABSTRAK ............................................................................................................ ix
ABSTRACT ............................................................................................................. x
DAFTAR ISI ......................................................................................................... xi
DAFTAR GAMBAR .......................................................................................... xiii
DAFTAR TABEL ................................................................................................ xv
DAFTAR NOTASI ............................................................................................. xvi
DAFTAR LAMPIRAN ..................................................................................... xviii
BAB I
PENDAHULUAN
1.1 Latar Belakang ................................................................................ 1
1.2 Tujuan Penelitian ............................................................................ 2
1.3 Ruang Lingkup Pembahasan .......................................................... 2
1.4 Sistematika Penulisan ..................................................................... 2
BAB II TINJAUAN PUSTAKA
2.1 Partikel Tanah ................................................................................. 4
2.1.1 Komponen-Komponen Tanah ............................................ 4
2.1.2 Klasifikasi Tanah ................................................................ 5
2.2 Tanah Tak Jenuh ............................................................................. 6
2.2.1 Konsistensi Tanah ............................................................... 9
2.2.2 Hubungan Antarfase .......................................................... 11
2.2.2.1 Porositas................................................................. 12
2.2.2.2 Angka Pori ............................................................. 12
2.2.2.3 Kerapatan Tanah .................................................... 12
2.2.2.4 Berat Jenis.............................................................. 13
2.2.2.5 Derajat Kejenuhan ................................................. 14
2.2.2.6 Kadar Air ............................................................... 14
2.2.2.7 Berat Isi .................................................................. 15
2.3 Matric Suction .............................................................................. 15
2.4 Metode Kertas Filter ..................................................................... 20
2.5 Kuat Geser Tanah Tak Jenuh ....................................................... 22
2.5.1 Persamaan Kekuatan Geser Tanah Tak Jenuh .................. 23
2.5.2 Kurva Keruntuhan Mohr-Coulomb yang Diperpanjang .... 25
2.5.3 Hubungan Antara Nilai ϕb dan Nilai χ .............................. 27
2.5.3 Pengukuran dengan Metode Uji Geser Langsung (Direct
Shear) ................................................................................ 28
2.6 Proses Pembasahan ....................................................................... 30
BAB III PROSEDUR PENELITIAN
3.1 Rencana Kerja .............................................................................. 32
3.2 Persiapan Contoh Tanah Uji ......................................................... 33
xi
3.2.1 Pemilihan dan Pengambilan Contoh Tanah Uji ............... 33
3.2.2 Pembuatan Contoh Tanah Uji ........................................... 33
3.3 Prosedur Pengujian ....................................................................... 33
3.3.1 Pengujian Specific Gravity ............................................... 33
3.3.2 Pengujian Hydrometer Analysis ....................................... 37
3.3.3 Pengujian Index Properties .............................................. 39
3.3.4 Pengujian Atterberg Limit ................................................ 42
3.3.5 Pengujian Matric Suction (ua – uw) dengan Metode Kertas
Filter................................................................................... 47
3.3.6 Pengujian Direct Shear ..................................................... 51
BAB IV PENYAJIAN DAN ANALISIS DATA
4.1 Analisis Data Pengujian Pendahuluan .......................................... 56
4.1.1 Specific Gravity ................................................................ 56
4.1.2 Hydrometer Analysis ........................................................ 56
4.1.3 Index Properties ............................................................... 56
4.1.4 Atterberg Limit ................................................................. 57
4.2 Analisis Data Pengujian Akibat Proses Pembasahan ................... 58
4.2.1 Pengaruh Lama Pemeraman terhadap Kadar Air (w) dan
Derajat Kejenuhan (Sr) ...................................................... 58
4.2.2 Pengaruh Proses Pembasahan terhadap Nilai Index
Properties .......................................................................... 60
4.2.3 Pengaruh Proses Pembasahan terhadap Nilai Matric Suction
(ua – uw) ............................................................................ 64
4.2.4 Pengaruh Proses Pembasahan terhadap Nilai Kuat Geser
Tanah ................................................................................ 65
4.2.4.1 Nilai Kuat Geser Tanah Kondisi Initial (wi) ......... 66
4.2.4.2 Nilai Kuat Geser Tanah Kondisi wi + 10% wi ...... 68
4.2.4.3 Nilai Kuat Geser Tanah Kondisi wi + 12% wi ...... 70
4.2.4.4 Nilai Kuat Geser Tanah Kondisi wi + 15% wi ...... 72
4.2.4.5 Nilai Kuat Geser Tanah Kondisi Jenuh ................ 74
4.2.4.6 Hubungan Proses Pembasahan dengan Parameter
Kuat Geser Tanah ................................................. 76
BAB V SIMPULAN DAN SARAN
5.1 Simpulan ....................................................................................... 80
5.2 Saran ............................................................................................. 81
DAFTAR PUSTAKA .......................................................................................... 82
LAMPIRAN ......................................................................................................... 83
xii
DAFTAR GAMBAR
Gambar 2.1
Gambar 2.2
Gambar 2.3
Gambar 2.4
Gambar 2.5
Gambar 2.6
Gambar 2.7
Gambar 2.8
Gambar 2.9
Gambar 2.10
Gambar 2.11
Gambar 2.12
Gambar 2.13
Gambar 2.14
Gambar 2.15
Gambar 2.16
Gambar 3.1
Gambar 3.2
Gambar 3.3
Gambar 3.4
Gambar 4.1
Gambar 4.2
Gambar 4.3
Gambar 4.4
Gambar 4.5
Gambar 4.6
Gambar 4.7
Gambar 4.8
Gambar 4.9
Gambar 4.10
Pembagian studi mekanika tanah ....................................................7
Elemen-elemen tanah tak jenuh .......................................................8
Model tanah tak jenuh (a) 4 fase; (b) 3 fase ....................................8
Tahapan perubahan konsistensi tanah .............................................9
Bagan plastisitas ............................................................................11
Diagram fase tanah ........................................................................11
Variasi nilai matric suction pada tanah terbuka. a) Musim hujan; b)
musim kering dengan muka air tanah dangkal; c) musim kering
dengan muka air tanah dalam .................................................. 16-17
Hubungan air dan udara dalam tanah ............................................18
Metode kertas filter contact dan non-contact untuk mengukur
matric suction dan total suction ....................................................21
Grafik kalibrasi suction untuk dua jenis kertas filter .....................21
Persamaan keruntuhan Mohr-Coulomb yang diperpanjang untuk
tanah tidak jenuh ............................................................................25
Garis perpotongan di sepanjang garis keruntuhan antara dengan
(ua – uw) .........................................................................................26
Perbandingan cara Fredlund dan Bishop untuk memperkirakan
kekuatan geser pada tanah tak jenuh .............................................27
Uji geser langsung (direct shear) ..................................................29
Garis keruntuhan Mohr-Coulomb yang diperpanjang dari hasil uji
geser langsung (direct shear) ........................................................30
Bentuk khas kurva pengeringan dan pembasahan ..........................31
Diagram alir penelitian ..................................................................32
Ilustrasi antara berat erlenmeyer, air dan butir tanah ..................36
Diagram fase tanah ........................................................................41
Metode kertas filter contact dan non-contact untuk mengukur total
suction dan matric suction .............................................................51
Hubungan antara kadar air (w) dan derajat kejenuhan (Sr) ...........59
Perubahan kadar air (w) rencana dari kondisi initial (wi) hingga
kondisi jenuh .................................................................................61
Perubahan berat volume dari kondisi initial (wi) hingga kondisi
jenuh ..............................................................................................61
Perubahan angka pori dari kondisi initial (wi) hingga kondisi
jenuh ...............................................................................................62
Perubahan porositas dari kondisi initial (wi) hingga kondisi jenuh 63
Perubahan derajat kejenuhan dari kondisi initial (wi) hingga kondisi
jenuh ..............................................................................................63
Perubahan berat volume (γ), angka pori (e), porositas (n) dan
derajat kejenuhan (Sr) terhadap perubahan kadar air (w) ..............64
Perubahan tegangan air pori negatif (ua – uw) terhadap kenaikan
kadar air (w) akibat proses pembasahan ........................................65
Hubungan antara strain dengan shear stress pada kondisi initial
(wi) .................................................................................................66
Garis keruntuhan kuat geser tanah pada kondisi initial (wi) ..........67
xiii
Gambar 4.11 Garis keruntuhan yang diperpanjang kondisi initial (wi) ...............68
Gambar 4.12 Hubungan antara strain dengan shear stress pada kondisi wi +
10%wi ............................................................................................69
Gambar 4.13 Garis keruntuhan kuat geser tanah pada kondisi wi + 10%wi ........69
Gambar 4.14 Garis keruntuhan yang diperpanjang kondisi wi + 10%wi .............70
Gambar 4.15 Hubungan antara strain dengan shear stress pada kondisi wi +
12%wi ............................................................................................71
Gambar 4.16 Garis keruntuhan kuat geser tanah pada kondisi wi + 12%wi ........71
Gambar 4.17 Garis keruntuhan yang diperpanjang kondisi wi + 12%wi .............72
Gambar 4.18 Hubungan antara strain dengan shear stress pada kondisi wi +
15%wi ............................................................................................73
Gambar 4.19 Garis keruntuhan kuat geser tanah pada kondisi wi + 15%wi ........73
Gambar 4.20 Garis keruntuhan yang diperpanjang kondisi wi + 15%wi .............74
Gambar 4.21 Hubungan antara strain dengan shear stress pada kondisi jenuh ..75
Gambar 4.22 Garis keruntuhan kuat geser tanah pada kondisi jenuh .................75
Gambar 4.23 Perubahan kohesi (c’) dari kondisi initial hingga kondisi jenuh ...76
Gambar 4.24 Perubahan sudut geser dalam (ϕ’) dari kondisi initial (wi) hingga
kondisi jenuh .................................................................................77
Gambar 4.25 Perubahan sudut yang menghubungkan cohesion intercept dengan
matric suction (ϕb) dari kondisi initial (wi) hingga kondisi jenuh .78
Gambar 4.26 Garis keruntuhan kuat geser tanah pada seluruh kondisi ..............79
xiv
DAFTAR TABEL
Tabel 2.1 Batasan-batasan ukuran golongan tanah .................................................6
Tabel 2.2 Nilai porositas, angka pori dan kerapatan butir (Modified from Hough,
1969) ......................................................................................................13
Tabel 2.3 Alat untuk mengukur nilai suction dan komponennya .........................19
Tabel 4.1 Some typical values for different of some common soil materials .......57
Tabel 4.2 Hubungan indeks plastisitas dengan tingkat keplastisan tanah ............58
Tabel 4.3 Hasil pengujian lama pemeraman .........................................................59
Tabel 4.4 Perubahan parameter sifat fisik tanah ...................................................60
xv
DAFTAR NOTASI
A
Area
Cm
Koreksi meniskus
Ct
Koreksi temperatur
c
Kohesi total
c’
Kohesi efektif
D
Diameter
e
Angka pori
Gs
Berat spesifik butir tanah
GT
Berat jenis air
h
Suction
Ic
Consistency Index
If
Flow Index
It
Toughness Index
LI
Liquidity Index
LL
Batas cair
M
Massa total
Ms
Massa tanah
n
Porositas
PI
Indeks plastisitas
PL
Batas plastis
R
Pembacaan hidrometer
R h’
Pembacaan hidrometer sebenarnya
r
Jari-jari dari sebuah bola ideal pada bagian bawah saluran
udara
SL
Batas susut
Sr
Derajat kejenuhan
T
Suhu
Ts
Tarikan permukaan membran
t
Waktu
ua
Tekanan udara pori
uw
Tekanan air pori
xvi
(ua – uw)
Matric suction
V
Volume total
Vs
Volume butiran padat
Vv
Volume pori
Vw
Volume air dalam pori
W
Berat total
Ws
Berat padat
Ww
Berat air
w
Kadar air
wi
Kadar air initial
wn
Kadar air alami
X
Koreksi dispersent
Zr
Effective depth
γ
Berat volume tanah
γ’
Berat volume tanah efektif
γd
Berat volume tanah kering
γw
Berat volume air
Viskositas aquades (poise)
w
Kadar air volumetrik
ρ
Kerapatan tanah
ρd
Kerapatan tanah pada kondisi kering
ρs
Kerapatan tanah basah
ρw
Kerapatan air pada pori
Tegangan normal total
’
Tegangan normal efektif
n
Tegangan normal
Tegangan geser
f
Tegangan geser saat runtuh
ϕ
Sudut geser dalam total
ϕ’
Sudut geser dalam efektif
ϕb
Sudut yang menghubungkan cohesion intercept dengan
nilai air pori negatif (suction)
χ
Parameter yang berhubungan dengan derajat kejenuhan
tanah
xvii
DAFTAR LAMPIRAN
Lampiran 1
Lampiran 2
Lampiran 3
Lampiran 4
Lampiran 5
Lampiran 6
Lampiran 7
Pengujian Specific Gravity ...............................................................83
Pengujian Hydrometer Analysis .......................................................87
Pengujian Index Properties untuk analisis lama pemeraman ..........94
Pengujian Index Properties ..............................................................97
Pengujian Atterberg Limits ............................................................103
Pengujian Soil Suction menggunakan Metode Kertas Filter ..........106
Pengujian Direct Shear ..................................................................109
xviii
LAMPIRAN
Lampiran 1 Pengujian Specific Gravity
Tabel L1.1 Data kalibrasi erlenmeyer
Determination No.
1
2
3
4
5
Wt. Bottle + Water
; W2
( gr )
756.10
758.80
760.70
762.00
763.20
Temperatur
;T
( °C )
60
55
50
45
40
Grafik Kalibrasi Erlenmeyer
765
Weight Bottle + Water ; W2 ( gram )
764
763
762
761
760
759
758
757
y = -0.348x + 777.56
R² = 0.9688
756
755
35
40
45
50
55
60
65
Temperature ; T ( °C )
Gambar L1.1 Grafik kalibrasi erlenmeyer
Tabel L1.2 Data pengujian specific gravity
Determination No.
Wt. Bottle + Water + Soil
( gr )
1
797.70
2
800.20
3
801.70
4
802.80
5
805.00
; W1
Temperatur
;T
( °C )
60
55
50
45
40
Wt. Bottle + Water
; W2
( gr )
756.10
758.80
760.70
762.00
763.20
Spec. Grav. of Water at T °C
; GT
0.9832
0.9857
0.9881
0.9902
0.9922
Spec. Grav.of Soil at T °C
; GS
2.72
2.71
2.67
2.65
2.77
83
Universitas Kristen Maranatha
Berat cawan
(W3)
= 214.70 gr
Berat cawan + tanah kering (W4)
= 279.80 gr
Berat tanah kering
= 65.10 gr
(W5)
2.72 2.71 2.67 2.65 2.77
2.71
5
Average Value of Gs =
Tabel L1.3 Specific gravity of water
°C
0
1
2
3
4
5
6
7
8
9
0
10
20
30
40
50
60
70
80
90
0.9999
0.9997
0.9982
0.9957
0.9922
0.9881
0.9832
0.9778
0.9718
0.9653
0.9999
0.9996
0.9980
0.9954
0.9919
0.9876
0.9827
0.9772
0.9712
0.9647
1.0000
0.9995
0.9978
0.9951
0.9915
0.9872
0.9822
0.9767
0.9606
0.9640
1.0000
0.9994
0.9976
0.9947
0.9911
0.9867
0.9817
0.9761
0.9699
0.9633
1.0000
0.9993
0.9973
0.9944
0.9907
0.9862
0.9811
0.9755
0.9693
0.9626
1.0000
0.9991
0.9971
0.9941
0.9902
0.9857
0.9806
0.9749
0.9686
0.9619
1.0000
0.9990
0.9968
0.9937
0.9898
0.9852
0.9800
0.9743
0.9680
0.9612
0.9999
0.9988
0.9965
0.9934
0.9894
0.9848
0.9795
0.9737
0.9673
0.9605
0.9999
0.9986
0.9963
0.9930
0.9890
0.9842
0.9789
0.9731
0.9667
0.9598
0.9999
0.9984
0.9960
0.9926
0.9885
0.9838
0.9784
0.9724
0.9660
0.9591
Tabel L1.4 Gs value of some soil
Type of Soil
Quartz sand
Silt
Clay
Chalk
Loses
Peat
Sumber: Das, M. Braja, 1985
84
Gs
2.64 – 2.66
2.67 – 2.73
2.7 – 2.9
2.6 – 2.75
2.65 – 2.73
1.3 – 1.9
Universitas Kristen Maranatha
Foto-foto alat dan proses pengujian
Gambar L1.2 Erlenmeyer
Gambar L1.3 Timbangan
Gambar L1.4 Pinggan pengaduk
Gambar L1.5 Oven
85
Universitas Kristen Maranatha
Gambar L1.6 Thermometer
Gambar L1.7 Pengujian
Specific Gravity
86
Universitas Kristen Maranatha
Lampiran 2 Pengujian Hydrometer Analysis
Data
Type of hydrometer used
= 151H-3
Correction menicus
= 0.025
Weight of soil
= 44.5 gr
γc
= 1 gr/cm3
Specific gravity of soil
( Gs ) = 2.71
Volume
= 1000 ml
Specific gravity of water
( Gt )
Koreksi dispersen
=2
= 0.9976
Tabel L2.1 Data pengujian analisis hidrometer
Elapsed time ;
t
(detik)
120
240
480
900
1800
3600
7200
14400
28800
Rh'
23.0
22.0
21.5
20.0
18.0
17.0
15.5
14.5
13.5
Rw
3.0
3.0
2.0
2.0
2.0
2.0
2.0
1.0
1.0
87
T
(°C)
23.0
23.0
23.0
22.5
22.5
22.0
22.0
21.5
21.5
Rh
23.025
22.025
21.525
20.025
18.025
17.025
15.525
14.525
13.525
Ct
(°C)
0.70
0.70
0.70
0.55
0.55
0.40
0.40
0.30
0.30
N
Zr
(%)
88.054
84.493
79.151
73.275
66.152
62.056
56.714
49.235
45.674
(cm)
10.800
11.000
11.500
11.800
12.400
12.500
13.000
13.500
13.750
Coor. R
24.725
23.725
22.225
20.575
18.575
17.425
15.925
13.825
12.825
Universitas Kristen Maranatha
k
0.01297
0.01297
0.01297
0.01305
0.01305
0.01312
0.01312
0.01320
0.01320
D
(mm)
0.0389
0.0278
0.0201
0.0149
0.0108
0.0077
0.0056
0.0040
0.0029
20
18
Kurva A untuk elapsed
time < 2 menit
16
14
Kurva B untuk elapsed
time > 2 menit
12
Zr
10
8
6
4
2
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
R
Gambar L2.1 Grafik hubungan antara R vs Zr
88
Universitas Kristen Maranatha
100
90
N (%)
80
70
60
50
40
0.1000
0.0100
0.0010
D ( diameter ) (mm)
Gambar L2.2 Grafik hubungan antara diameter ( D ) dan N
Tabel L2.2 Harga-harga faktor koreksi suhu
Suhu (°C)
Ct
Suhu (°C)
Ct
15
-1.10
24
+1.00
17
-0.90
25
+1.30
18
-0.70
26
+1.66
19
-0.50
27
+2.00
20
0.00
28
+2.50
21
+0.20
29
+3.50
22
+0.40
30
+3.80
23
+0,70
Sumber: G. Djatmiko Soedarmo dkk, 1977:79
89
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Tabel L2.3 Koreksi K
Temperature
(°C)
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Specific Gravity of Soil Particles
2.55
2.60
2.65
2.70
2.75
2.45
2.50
2.80
2.85
0.01510
0.01505
0.01481
0.01457
0.01435
0.01414
0.01511
0.01486
0.01462
0.01439
0.01427
0.01396
0.01394
0.01374
0.01356
0.01376
0.01356
0.01338
0.01492
0.01467
0.01443
0.01421
0.01399
0.01474
0.01449
0.01425
0.01403
0.01382
0.01378
0.01359
0.01339
0.01321
0.01361
0.01342
0.01323
0.01305
0.01456
0.01431
0.01408
0.01386
0.01365
0.01344
0.01325
0.01307
0.01289
0.01438
0.01414
0.01391
0.01421
0.01397
0.01374
0.01369
0.01348
0.01328
0.01309
0.01291
0.01273
0.01353
0.01332
0.01312
0.01294
0.01276
0.01258
0.01404
0.01381
0.01388
0.01365
0.01358
0.01337
0.01317
0.01297
0.01279
0.01261
0.01243
0.01342
0.01321
0.01301
0.01282
0.01264
0.01246
0.01229
0.01372
0.01357
0.01349
0.01327
0.01306
0.01286
0.01267
0.01249
0.01232
0.01215
0.01334
0.01312
0.01291
0.01272
0.01253
0.01235
0.01218
0.01201
0.01342
0.01319
0.01297
0.01277
0.01258
0.01239
0.01221
0.01204
0.01188
0.01327
0.01304
0.01283
0.01264
0.01244
0.01225
0.01208
0.01191
0.01175
0.01312
0.01290
0.01269
0.01249
0.01230
0.01212
0.01195
0.01178
0.01162
0.01298
0.01276
0.01256
0.01236
0.01217
0.01199
0.01182
0.01165
0.01149
90
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Gambar L2.3 Flow chart for classifiying fine-grained soil (50% or more passes no. 200 sieve)
91
Universitas Kristen Maranatha
Foto-foto alat dan proses pengujian
Gambar L2.4 Hidrometer
Gambar L2.6 Mixer
Gambar L2.5 Gelas pengukur
volume 1000 cc
Gambar L2.7 Sodium Hexametafosfat
92
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Gambar L2.8 Tapis no. 200
Gambar L2.10 Pembacaan
hidrometer dan temperatur pada
kondisi suspensi dispersi total
Gambar L2.9 Stopwatch
Gambar L2.11 Pembacaan hidrometer
dan temperatur pada suspensi
dan bak ukur
93
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Lampiran 3 Pengujian Index Properties untuk analisis lama pemeraman
Tabel L3.1 Data pengujian index properties kondisi wi + 20%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.35
2.55
31.67
80.76
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
82.00
82.00
82.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
277.40
279.70
281.80
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
229.00
230.60
232.00
Wt. of Ring + Dry Soil
; W5
( gr )
166.00
166.30
166.00
Wt. of Wet Soil
;W
( gr )
132.40
133.40
133.80
Wt. of Water
; WW
( gr )
48.40
49.10
49.80
Wt. of Dry Soil
; WS
( gr )
84.00
84.30
84.00
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
57.62
80.76
1.64
1.61
0.62
58.24
80.76
1.65
1.60
0.61
59.29
80.76
1.66
1.61
0.62
Degree of Saturation
; Sr
(%)
97.27
98.89
100.08
94
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Tabel L3.2 Data pengujian index properties kondisi wi + 40%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.50
2.56
33.18
84.85
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
98.00
98.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
301.90
306.50
310.30
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
247.70
250.10
252.40
Wt. of Ring + Dry Soil
; W5
( gr )
184.70
185.80
186.40
Wt. of Wet Soil
;W
( gr )
140.90
144.20
146.30
Wt. of Water
; WW
( gr )
54.20
56.40
57.90
Wt. of Dry Soil
; WS
( gr )
86.70
87.80
88.40
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
62.51
84.85
1.66
1.65
0.62
64.24
84.85
1.70
1.62
0.62
65.50
84.85
1.72
1.60
0.62
Degree of Saturation
; Sr
(%)
102.54
107.53
110.86
95
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Tabel L3.3 Data pengujian index properties kondisi wi + 60%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.35
2.55
31.67
80.76
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
82.00
82.00
82.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
290.60
294.80
300.30
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
229.80
231.10
233.70
Wt. of Ring + Dry Soil
; W5
( gr )
166.80
166.80
167.70
Wt. of Wet Soil
;W
( gr )
145.60
148.50
152.30
Wt. of Water
; WW
( gr )
60.80
63.70
66.60
Wt. of Dry Soil
; WS
( gr )
84.80
84.80
85.70
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
71.70
80.76
1.80
1.58
0.61
75.12
80.76
1.84
1.58
0.61
77.71
80.76
1.89
1.55
0.61
Degree of Saturation
; Sr
(%)
122.92
128.78
135.55
96
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Lampiran 4 Pengujian Index Properties
Tabel L4.1 Data pengujian index properties kondisi initial ( wi )
Determination No.
Ring No.
1
A
2
B
Wt. of Ring
; W1
( gr )
82.00
98.00
Diameter of Ring
;d
( cm )
6.35
6.50
Height of Ring
;t
( cm )
2.55
2.56
Area of Ring
;A
( cm² )
31.67
33.18
Volume of Ring
;V
( cm³ )
80.76
84.85
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
266.40
286.70
Wt. of Dish
; W3
( gr )
58.00
63.80
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
225.10
244.60
Wt. of Ring + Dry Soil
; W5
( gr )
167.10
180.80
Wt. of Wet Soil
;W
( gr )
126.40
124.90
Wt. of Water
; WW
( gr )
41.30
42.10
Wt. of Dry Soil
; WS
( gr )
85.10
82.80
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
48.53
80.76
1.57
1.57
0.61
50.85
84.85
1.47
1.78
0.64
Degree of Saturation
; Sr
(%)
83.68
77.54
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 49.69 %
γ
= 1.52 gr/cm3
e
= 1.67
n
= 0.63
Sr
= 80.61 %
1.52
1.015 gr/cm3
(1 0.4969)
= 1.52 – 1.00
= 0.52 gr/cm3 = 0.52 t/m3
97
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Tabel L4.2 Data pengujian index properties kondisi wi + 10%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
271.50
289.50
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
226.30
244.90
Wt. of Ring + Dry Soil
; W5
( gr )
162.00
181.90
Wt. of Wet Soil
;W
( gr )
125.20
128.50
Wt. of Water
; WW
( gr )
45.20
44.60
Wt. of Dry Soil
; WS
( gr )
80.00
83.90
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
56.50
80.76
1.55
1.74
0.63
53.16
84.85
1.51
1.74
0.64
Degree of Saturation
; Sr
(%)
88.22
82.76
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 54.83 %
γ
= 1.53 gr/cm3
e
= 1.74
n
= 0.63
Sr
= 85.49 %
1.53
0.988 gr/cm3
(1 0.5483)
= 1.53 – 1.00
= 0.53 gr/cm3 = 0.53 t/m3
98
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Tabel L4.3 Data pengujian index properties kondisi wi + 12%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
272.80
291.90
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
227.40
245.10
Wt. of Ring + Dry Soil
; W5
( gr )
163.10
182.10
Wt. of Wet Soil
;W
( gr )
126.50
130.90
Wt. of Water
; WW
( gr )
45.40
46.80
Wt. of Dry Soil
; WS
( gr )
81.10
84.10
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
55.98
80.76
1.57
1.70
0.63
55.65
84.85
1.54
1.73
0.63
Degree of Saturation
; Sr
(%)
89.32
86.96
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 55.81 %
γ
= 1.55 gr/cm3
e
= 1.72
n
= 0.63
Sr
= 88.14 %
1.55
0.995 gr/cm3
(1 0.5581)
= 1.55 – 1.00
= 0.55 gr/cm3 = 0.55 t/m3
99
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Tabel L4.4 Data pengujian index properties kondisi wi + 15%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
274.30
294.30
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
228.40
245.30
Wt. of Ring + Dry Soil
; W5
( gr )
164.10
182.30
Wt. of Wet Soil
;W
( gr )
128.00
133.30
Wt. of Water
; WW
( gr )
45.90
49.00
Wt. of Dry Soil
; WS
( gr )
82.10
84.30
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
55.91
80.76
1.59
1.67
0.62
58.13
84.85
1.57
1.73
0.63
Degree of Saturation
; Sr
(%)
90.96
91.18
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 57.02 %
γ
= 1.58 gr/cm3
e
= 1.70
n
= 0.63
Sr
= 91.07 %
1.58
1.006 gr/cm3
(1 0.5702)
= 1.58 – 1.00
= 0.58 gr/cm3 = 0.58 t/m3
100
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Tabel L4.5 Data pengujian index properties kondisi jenuh
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
Wt. of Dish
; W3
( gr )
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
Wt. of Ring + Dry Soil
; W5
( gr )
Wt. of Wet Soil
;W
( gr )
Wt. of Water
; WW
( gr )
Wt. of Dry Soil
; WS
( gr )
Specific Gravity of Soil at T °C
; GS
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
Degree of Saturation
; Sr
(%)
Value
(1 w)
γd
=
γ'
= γ – γw
w
= 65.32 %
γ
= 1.63 gr/cm3
e
= 1.75
n
= 0.64
Sr
= 101.18 %
1
B
6.50
2.56
33.18
84.85
98.00
299.30
63.00
244.70
181.70
138.30
54.60
83.70
2.71
65.23
84.85
1.63
1.75
0.64
101.18
1.63
0.986 gr/cm3
(1 0.6532)
= 1.63 – 1.00
= 0.63 gr/cm3 = 0.63 t/m3
101
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Foto-foto alat dan proses pengujian
Gambar L4.1 Silinder ring
pencetak tanah
Gambar L4.2 Extruder
Gambar L4.3 Jangka sorong
Gambar L4.4 Desikator
Gambar L4.5 Gergaji kawat
Gambar L4.6 Contoh tanah
setelah dicetak pada ring
102
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Lampiran 5 Pengujian Atterberg Limits
Tabel L5.1 Data pengujian kadar air alami
Container No.
C-11
Wt. of Container
; W1
( gr )
21.50
Wt. Cont + Wet Soil
; W2
( gr )
31.50
Wt. Cont + Dry Soil
; W3
( gr )
28.20
Wt. of Water
; WW
( gr )
3.30
Wt. of Dry Soil
; WS
( gr )
6.70
WATER CONTENT
;w
(%)
49.25
Tabel L5.2 Data pengujian batas cair (liquid limit)
Container No.
T-2
T-5
T-6
T-8
T-9
Wt. of Container
; W1
( gr )
10.00
9.20
10.00
10.00
10.00
Wt. Cont + Wet Soil
; W2
( gr )
20.00
19.20
20.00
20.00
20.00
Wt. Cont + Dry Soil
; W3
( gr )
15.90
15.20
16.20
16.30
16.60
Wt. of Water
; WW
( gr )
4.10
4.00
3.80
3.70
3.40
Wt. of Dry Soil
; WS
( gr )
5.90
6.00
6.20
6.30
6.60
WATER CONTENT
;w
;N
(%)
69.49
15
66.67
18
61.29
25
58.73
30
51.52
35
NUMBER OF BLOWS
FLOW CHART CURVE (KURVA ALIR)
75
Water Content ; w (%)
70
65
W25 = 60,28%
60
W30 = 56,73%
y = -19.47ln(x) + 122.95
W35 = 53,73%
55
50
10
25
30
35
100
Number of Blow ; N
Gambar L5.1 Grafik hubungan antara jumlah pukulan vs kadar air
103
Universitas Kristen Maranatha
Tabel L5.3 Data pengujian batas plastis (plastic limit)
Container No.
D-21
D-22
Wt. of Container
; W1
( gr )
14.50
14.70
Wt. Cont + Wet Soil
; W2
( gr )
24.50
24.70
Wt. Cont + Dry Soil
; W3
( gr )
21.60
22.00
Wt. of Water
; WW
( gr )
2.90
2.70
Wt. of Dry Soil
; WS
( gr )
7.10
7.30
WATER CONTENT
;w
(%)
40.85
36.99
80
70
CH atau OH
PLASTICITY INDEX ; PI (%)
60
-50
50
40
30
CL atau OL
20
10
atau OL
SL = ML
27,09%
0
-40
-30
-20
-10-10 0
MH atau OH
10
20
30
40
50
60
70
80
90
100
-20
-30
-40
-50
LIQUID LIMIT ; LL (%)
Gambar L5.2 Bagan plastisitas
Keterangan
:
CH
= Lempung Anorganik dengan Plastisitas Tinggi
MH
= Lanau Elastis atau Tanah Pasiran/Lanauan
OH
= Lempung Organik dengan Plastisitas Sedang sampai Tinggi
CL
= Lempung Anorganik dengan Plastisitas Rendah sampai Sedang;
Lempung Berkerikil; Lempung Berpasir; Lempung Lanauan
ML
= Lanau Anorganik dan Pasir Sangat Halus; Pasir Halus Berlanau atau
Berlempung dengan Plastisitas Rendah
OL
= Lanau Anorganik dan Lanau-Lempung Organik dengan Plastisitas
Rendah
104
Universitas Kristen Maranatha
Tabel L5.4 Harga PI, LI, If, It dan Ic
LL
PL
SL
PI
Wn
LI
If
SUMMARY
;(%)
;(%)
;(%)
;(%)
;(%)
61.54
38.92
27.09
22.62
49.25
0.46
44.83
It
0.50
Ic
0.54
Foto-foto alat dan proses pengujian
Gambar L5.3 Alat Cassagrande
Gambar L5.4 Groving tool
Gambar L5.5 Container
Gambar L5.6 Scrapper
105
Universitas Kristen Maranatha
Lampiran 6 Soil Suction Measurement Using Filter Paper Method
Tabel L6.1 Data pengujian matric suction
Condition
Moisture Tin No.
Cold Tare Mass (g)
Mass of Wet Filter Paper + Cold Tare Mass (g)
Mass of Dry Filter Paper + Cold Tare Mass (g)
Hot Tare Mass (g)
Mass of Dry Filter Paper (g)
Mass of Water in Filter Paper (g)
Filter Paper Water Content (%)
Suction (kPa)
Suction (Kg/cm²)
106
Tc
M1
M2
Th
Mf
Mw
w
h
h
Initial (wi)
1
20.1856
20.6502
20.4675
20.1856
0.2819
0.1827
64.8102
34.4399
0.3512
wi+10%wi
2
19.3542
19.6919
19.5492
19.3542
0.195
0.1427
73.1795
26.5507
0.2707
Universitas Kristen Maranatha
wi+12%wi
3
18.4929
18.8328
18.6732
18.4929
0.1803
0.1596
88.5191
16.4813
0.1681
wi+15%wi
4
19.0308
19.5824
19.3141
19.0308
0.2833
0.2683
94.7053
13.5981
0.1387
Gambar L6.1 Grafik hubungan kadar air vs nilai suction pada jenis kertas
filter tertentu
Foto-foto alat dan proses pengujian
Gambar L6.2 Kertas filter
Gambar L6.3 Tabung kaca
107
Universitas Kristen Maranatha
Gambar L6.4 Timbangan dengan
Gambar L6.5 Wadah aluminium
ketelitian 0.0001 gr
Gambar L6.6 Penyiapan benda uji
untuk metode contact
Gambar L6.7 Bahan uji yang
sedang didiamkan sampai
kondisi keseimbangan dicapai
108
Universitas Kristen Maranatha
Lampiran 7 Pengujian Direct Shear
Lampiran 7.1 Direct Shear kondisi initial
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.1
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66.7
gr
Wt. cont + wet soil
( W2 ) = 184
gr
Wt. cont + dry soil
( W3 ) = 145.2
gr
Wt. of water
( Ww ) = 38.8
gr
Wt. of dry soil
( Ws ) = 78.5
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.699
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 83.931
= 49.43
109
%
Universitas Kristen Maranatha
Tabel L7.1 Data pengujian direct shear kondisi initial dengan σn = 0.1 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.7573
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
6
11
19
26
34
41
49
59
68
76
86
92
100
105
110
114
116
120
122
123
124
124
124
124
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
14
19
21.5
27
31
32.5
34.5
35
33.5
34
38
39
38
36
34
32
31
33.5
41
40.5
35
28
25
22
4.138
5.616
6.355
7.981
9.164
9.607
10.198
10.346
9.903
10.050
11.233
11.528
11.233
10.642
10.050
9.459
9.164
9.903
12.120
11.972
10.346
8.277
7.390
6.503
0.131
0.178
0.201
0.253
0.290
0.304
0.323
0.328
0.313
0.318
0.356
0.365
0.356
0.337
0.318
0.299
0.290
0.313
0.384
0.379
0.328
0.262
0.234
0.206
Displacement
0.0024
0.0043
0.0075
0.0102
0.0134
0.0161
0.0193
0.0232
0.0268
0.0299
0.0339
0.0362
0.0394
0.0413
0.0433
0.0449
0.0457
0.0472
0.0480
0.0484
0.0488
0.0488
0.0488
0.0488
Strain
9.61
3.486 %/min
ElapsedTim e 2.7573
110
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.5000
Shear Stress (Kg/cm2)
0.4000
0.388 Kg/cm
2
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
Strain (%)
Gambar L7.1 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.1 Kg/cm2
111
Universitas Kristen Maranatha
10.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.2
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 62.7
gr
Wt. cont + wet soil
( W2 ) = 182
gr
Wt. cont + dry soil
( W3 ) = 142.65
gr
Wt. of water
( Ww ) = 39.35
gr
Wt. of dry soil
( Ws ) = 79.95
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.700
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 83.577
= 49.22
112
%
Universitas Kristen Maranatha
Tabel L7.2 Data pengujian direct shear kondisi initial dengan σn = 0.2 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.9053
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
1
1
0.5
1
2
3.5
5
7
9.5
12
19
21
29
22
25
26
27
28
39.5
44.5
50
54.5
60
65.5
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
13
21
26.5
27
25
26
27
28.5
29
28.5
28
29
30
30.5
34
42
44
39.5
39
38
37.5
35.5
34
32
3.843
6.208
7.833
7.981
7.390
7.686
7.981
8.425
8.572
8.425
8.277
8.572
8.868
9.016
10.050
12.415
13.006
11.676
11.528
11.233
11.085
10.494
10.050
9.459
0.122
0.197
0.248
0.253
0.234
0.243
0.253
0.267
0.271
0.267
0.262
0.271
0.281
0.285
0.318
0.393
0.412
0.370
0.365
0.356
0.351
0.332
0.318
0.299
Displacement
0.0004
0.0004
0.0002
0.0004
0.0008
0.0014
0.0020
0.0028
0.0037
0.0047
0.0075
0.0083
0.0114
0.0087
0.0098
0.0102
0.0106
0.0110
0.0156
0.0175
0.0197
0.0215
0.0236
0.0258
Strain
9.61
3.308 %/min
ElapsedTim e 2.9053
113
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.5000
0.412 Kg/cm
2
Shear Stress (Kg/cm2)
0.4000
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
Strain (%)
Gambar L7.2 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.2 Kg/cm2
114
Universitas Kristen Maranatha
10.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.3
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 63.5
gr
Wt. cont + wet soil
( W2 ) = 195
gr
Wt. cont + dry soil
( W3 ) = 150.9
gr
Wt. of water
( Ww ) = 44.1
gr
Wt. of dry soil
( Ws ) = 87.4
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.694
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 85.682
= 50.46
115
%
Universitas Kristen Maranatha
Tabel L7.3 Data pengujian direct shear kondisi initial dengan σn = 0.3 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
3.0343
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
250
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
10.01
10.01
5
9
15
14
14
14
12
10
8
7
6
4
4
2
2
2
2
2
2
2
1
1
1
1
1
1
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
17
25
32
38
41
47
51
55
57
58
58
58
60
60.5
59
57
54
52.5
56
63
70
67
62
57
54
51
5.025
7.390
9.459
11.233
12.120
13.893
15.076
16.258
16.849
17.145
17.145
17.145
17.736
17.884
17.440
16.849
15.962
15.519
16.554
18.623
20.692
19.805
18.327
16.849
15.962
15.076
0.159
0.234
0.299
0.356
0.384
0.440
0.477
0.515
0.533
0.543
0.543
0.543
0.561
0.566
0.552
0.533
0.505
0.491
0.524
0.590
0.655
0.627
0.580
0.533
0.505
0.477
Displacement
0.0020
0.0035
0.0059
0.0055
0.0055
0.0055
0.0047
0.0039
0.0031
0.0028
0.0024
0.0016
0.0016
0.0008
0.0008
0.0008
0.0008
0.0008
0.0008
0.0008
0.0004
0.0004
0.0004
0.0004
0.0004
0.0004
Strain
10.01
3.300 %/min
ElapsedTim e 3.0343
116
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.7000
Shear Stress (Kg/cm2)
0.6000
0.655 Kg/cm
2
0.5000
0.4000
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
10.00
11.00
Strain (%)
Gambar L7.3 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.3 Kg/cm2
117
Universitas Kristen Maranatha
12.00
Lampiran 7.2 Direct Shear kondisi wi + 10%wi
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.1
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66
gr
Wt. cont + wet soil
( W2 ) = 178.5
gr
Wt. cont + dry soil
( W3 ) = 138.8
gr
Wt. of water
( Ww ) = 39.7
gr
Wt. of dry soil
( Ws ) = 72.8
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.676
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 92.6025
= 54.53
118
%
Universitas Kristen Maranatha
Tabel L7.4 Data pengujian direct shear kondisi wi + 10%wi dengan σn = 0.1
Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.823
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
10.01
8
11
13
16
17
19
19
18
18
17
17
15
11
10
6
4
3
1
4
10
15
20
25
30
36
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
5
5
7
10
11
12
12
12
13
15.5
16
17.5
18
18.5
19
19.5
23
29
39
37
33
30.5
28
26.5
25
1.478
1.478
2.069
2.956
3.252
3.547
3.547
3.547
3.843
4.582
4.730
5.173
5.321
5.469
5.616
5.764
6.799
8.572
11.528
10.937
9.755
9.016
8.277
7.833
7.390
0.047
0.047
0.066
0.094
0.103
0.112
0.112
0.112
0.122
0.145
0.150
0.164
0.168
0.173
0.178
0.182
0.215
0.271
0.365
0.346
0.309
0.285
0.262
0.248
0.234
Displacement
0.0031
0.0043
0.0051
0.0063
0.0067
0.0075
0.0075
0.0071
0.0071
0.0067
0.0067
0.0059
0.0043
0.0039
0.0024
0.0016
0.0012
0.0004
0.0016
0.0039
0.0059
0.0079
0.0098
0.0118
0.0142
10.01
Strain
3.547 %/min
ElapsedTim e 2.823
119
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.4000
0.368 Kg/cm
2
Shear Stress (Kg/cm2)
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
10.00
11.00
Strain (%)
Gambar L7.4 Grafik hubungan strain vs shear stress kondisi wi + 10%wi dengan σn = 0.1 Kg/cm2
120
Universitas Kristen Maranatha
12.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.2
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66
gr
Wt. cont + wet soil
( W2 ) = 194.6
gr
Wt. cont + dry soil
( W3 ) = 149
gr
Wt. of water
( Ww ) = 45.6
gr
Wt. of dry soil
( Ws ) = 83
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.674
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 93.293
= 54.94
121
%
Universitas Kristen Maranatha
Tabel L7.5 Data pengujian direct shear kondisi wi + 10%wi dengan σn = 0.2
Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.646
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
5
10
18
25
29
31.5
34
36
38
39
40
39.5
39.5
39
37
35
35
34
32
31
29.5
28
25.5
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
18.5
21
24
27.5
31.5
30
29.5
33.5
35
39
41.5
44
50
53
48
46.5
48
47.5
45.5
44
42
40.5
39.5
5.469
6.208
7.094
8.129
9.311
8.868
8.720
9.903
10.346
11.528
12.267
13.006
14.780
15.667
14.189
13.745
14.189
14.041
13.450
13.006
12.415
11.972
11.676
0.173
0.197
0.225
0.257
0.295
0.281
0.276
0.313
0.328
0.365
0.388
0.412
0.468
0.496
0.449
0.435
0.449
0.444
0.426
0.412
0.393
0.379
0.370
Displacement
0.0020
0.0039
0.0071
PARAMETER KUAT GESER c’, ϕ’ DAN ϕb TANAH
LANAU BERPASIR TAK JENUH
Mentari Surya Pratiwi
NRP : 0921017
Pembimbing : Ir. Asriwiyanti Desiani, M.T.
ABSTRAK
Pada dasarnya, kondisi tanah di alam tidaklah selalu dalam keadaan jenuh.
Siklus pembasahan dan pengeringan yang terjadi berulang–ulang mempengaruhi
sifat–sifat fisik tanah dan karakteristik mekanik tanah antara lain perubahan kadar
air dalam tanah, perubahan kuat geser, dan perubahan matric suction.
Untuk mengetahui perubahan karakteristik tanah dan sifat mekaniknya
dilakukan penelitian tanah akibat pengaruh proses pembasahan atau penambahan
kadar air dari kondisi initial (wi) hingga dicapai kondisi wi + 10% wi, wi + 12% wi,
wi + 15% wi dan sampai kondisi jenuh, yang diwakilkan oleh tanah yang diambil
dari daerah Lapangan Maranatha. Tanah yang akan digunakan sebagai benda uji
diambil pada kedalaman 1 meter dari permukaan tanah, dan alat yang digunakan
adalah Direct Shear. Dari penelitian ini diharapkan dapat memberikan gambaran
kondisi tanah permukaan setelah mengalami proses pembasahan dan mengetahui
hubungan antara kondisi tanah dan kuat gesernya.
Hasil analisa pengujian tentang pengaruh proses pembasahan dan
perhitungan yang sudah dilakukan, memperlihatkan bahwa contoh tanah uji yang
diambil merupakan tanah lanau berpasir. Proses pembasahan terhadap tanah uji di
laboratorium pada kondisi initial (wi) hingga kondisi jenuh dengan lama
pemeraman 1 hari, memperlihatkan bahwa parameter fisik seperti kadar air (w)
meningkat 31.27%, angka pori (e) meningkat 4.79%, porositas (n) meningkat
1.59%, berat volume (γ) meningkat 7.24% dan derajat kejenuhan (Sr) meningkat
25.52%. Nilai matric suction (ua – uw) mengalami penurunan sebesar 60.51% dari
kondisi initial (wi) sampai kondisi wi + 15%wi. Sedangkan pada kondisi initial (wi)
hingga kondisi jenuh, diketahui bahwa parameter kuat geser tanah seperti kohesi
(c) menurun 37.41%, sudut geser dalam (ϕ’) menurun 25.98% dan sudut antara
cohesion intercept dengan matric suction (ϕb) menurun 95.89% dari kondisi initial
(wi) sampai kondisi wi + 15%wi.
Kata Kunci : Index Properties, Kadar Air, Kohesi, Sudut Geser Dalam,
Matric Suction, Tanah Tak Jenuh.
ix
THE INFLUENCE OF WETTING PROCESS AGAINST
SHEAR STRENGTH PARAMETER c’, ϕ’ AND ϕb OF
UNSATURATED SANDY SILT SOIL
Mentari Surya Pratiwi
NRP : 0921017
Supervisor
: Ir. Asriwiyanti Desiani, MT.
ABSTRACT
Basically, the soil conditions in nature are not always in a state of
saturation. Cycles of wetting and drying that occurs repeatedly affect soil physical
properties and characteristics of soil mechanics among others, changes in soil
moisture content, shear strength, and changes in matric suction.
To determine the changes in soil characteristics and mechanical
properties of soil research carried out under the influence of the wetting process
or adding moisture from initial (wi) condition to achieve wi + 10% wi’s condition,
wi + 12% wi, wi + 15% wi and up to saturated, which is represented by the land
taken from the field of Maranatha. The soil to be used as a test specimen taken at
a depth of 1 meter from the ground, and the tools used are Direct Shear. Of the
research is expected to provide an overview of surface soil condition after
experiencing wetting processes and determine the relationship between soil
conditions and shear strength.
From the analysis of the influence of the wetting tests and calculations
have been done, it is known that the test soil samples taken are sandy elastic silt
soil. The wetting process of the soil in the laboratory tests from the initial
conditions (wi) to saturated conditions with ripening periode 1 day, it is known
that physical parameters such as water content (w) increased 31.27%, void ratio
(e) increased 4.79%, porosity (n) increases 1.59%, unit weight of soil (γ) 7.24%
and the degree of saturation (Sr) increased 25.52%. For matric suction (ua – uw)
value decreased by 60.51% from the initial condition (wi) until the condition wi +
15% wi. While in the initial conditions (wi) to saturated conditions, it is known
that soil shear strength parameters such as cohesion (c) decreased 37.41%, the
friction angle (ϕ’) decreased 25.98% and the angle between the cohesion
intercept with matric suction (ϕb) decreased 95.89% from the initial condition (wi)
to condition wi + 15% wi.
Keywords
: Index Properties, Water Content, Cohesion, Friction Angle,
Matric Suction, Unsaturated Soils.
x
DAFTAR ISI
HALAMAN JUDUL ............................................................................................... i
LEMBAR PENGESAHAN ................................................................................... ii
PERNYATAAN ORISINALITAS LAPORAN TUGAS AKHIR ....................... iii
PERNYATAAN PUBLIKASI LAPORAN PENELITIAN .................................. iv
SURAT KETERANGAN TUGAS AKHIR .......................................................... v
SURAT KETERANGAN SELESAI TUGAS AKHIR ........................................ vi
KATA PENGANTAR ......................................................................................... vii
ABSTRAK ............................................................................................................ ix
ABSTRACT ............................................................................................................. x
DAFTAR ISI ......................................................................................................... xi
DAFTAR GAMBAR .......................................................................................... xiii
DAFTAR TABEL ................................................................................................ xv
DAFTAR NOTASI ............................................................................................. xvi
DAFTAR LAMPIRAN ..................................................................................... xviii
BAB I
PENDAHULUAN
1.1 Latar Belakang ................................................................................ 1
1.2 Tujuan Penelitian ............................................................................ 2
1.3 Ruang Lingkup Pembahasan .......................................................... 2
1.4 Sistematika Penulisan ..................................................................... 2
BAB II TINJAUAN PUSTAKA
2.1 Partikel Tanah ................................................................................. 4
2.1.1 Komponen-Komponen Tanah ............................................ 4
2.1.2 Klasifikasi Tanah ................................................................ 5
2.2 Tanah Tak Jenuh ............................................................................. 6
2.2.1 Konsistensi Tanah ............................................................... 9
2.2.2 Hubungan Antarfase .......................................................... 11
2.2.2.1 Porositas................................................................. 12
2.2.2.2 Angka Pori ............................................................. 12
2.2.2.3 Kerapatan Tanah .................................................... 12
2.2.2.4 Berat Jenis.............................................................. 13
2.2.2.5 Derajat Kejenuhan ................................................. 14
2.2.2.6 Kadar Air ............................................................... 14
2.2.2.7 Berat Isi .................................................................. 15
2.3 Matric Suction .............................................................................. 15
2.4 Metode Kertas Filter ..................................................................... 20
2.5 Kuat Geser Tanah Tak Jenuh ....................................................... 22
2.5.1 Persamaan Kekuatan Geser Tanah Tak Jenuh .................. 23
2.5.2 Kurva Keruntuhan Mohr-Coulomb yang Diperpanjang .... 25
2.5.3 Hubungan Antara Nilai ϕb dan Nilai χ .............................. 27
2.5.3 Pengukuran dengan Metode Uji Geser Langsung (Direct
Shear) ................................................................................ 28
2.6 Proses Pembasahan ....................................................................... 30
BAB III PROSEDUR PENELITIAN
3.1 Rencana Kerja .............................................................................. 32
3.2 Persiapan Contoh Tanah Uji ......................................................... 33
xi
3.2.1 Pemilihan dan Pengambilan Contoh Tanah Uji ............... 33
3.2.2 Pembuatan Contoh Tanah Uji ........................................... 33
3.3 Prosedur Pengujian ....................................................................... 33
3.3.1 Pengujian Specific Gravity ............................................... 33
3.3.2 Pengujian Hydrometer Analysis ....................................... 37
3.3.3 Pengujian Index Properties .............................................. 39
3.3.4 Pengujian Atterberg Limit ................................................ 42
3.3.5 Pengujian Matric Suction (ua – uw) dengan Metode Kertas
Filter................................................................................... 47
3.3.6 Pengujian Direct Shear ..................................................... 51
BAB IV PENYAJIAN DAN ANALISIS DATA
4.1 Analisis Data Pengujian Pendahuluan .......................................... 56
4.1.1 Specific Gravity ................................................................ 56
4.1.2 Hydrometer Analysis ........................................................ 56
4.1.3 Index Properties ............................................................... 56
4.1.4 Atterberg Limit ................................................................. 57
4.2 Analisis Data Pengujian Akibat Proses Pembasahan ................... 58
4.2.1 Pengaruh Lama Pemeraman terhadap Kadar Air (w) dan
Derajat Kejenuhan (Sr) ...................................................... 58
4.2.2 Pengaruh Proses Pembasahan terhadap Nilai Index
Properties .......................................................................... 60
4.2.3 Pengaruh Proses Pembasahan terhadap Nilai Matric Suction
(ua – uw) ............................................................................ 64
4.2.4 Pengaruh Proses Pembasahan terhadap Nilai Kuat Geser
Tanah ................................................................................ 65
4.2.4.1 Nilai Kuat Geser Tanah Kondisi Initial (wi) ......... 66
4.2.4.2 Nilai Kuat Geser Tanah Kondisi wi + 10% wi ...... 68
4.2.4.3 Nilai Kuat Geser Tanah Kondisi wi + 12% wi ...... 70
4.2.4.4 Nilai Kuat Geser Tanah Kondisi wi + 15% wi ...... 72
4.2.4.5 Nilai Kuat Geser Tanah Kondisi Jenuh ................ 74
4.2.4.6 Hubungan Proses Pembasahan dengan Parameter
Kuat Geser Tanah ................................................. 76
BAB V SIMPULAN DAN SARAN
5.1 Simpulan ....................................................................................... 80
5.2 Saran ............................................................................................. 81
DAFTAR PUSTAKA .......................................................................................... 82
LAMPIRAN ......................................................................................................... 83
xii
DAFTAR GAMBAR
Gambar 2.1
Gambar 2.2
Gambar 2.3
Gambar 2.4
Gambar 2.5
Gambar 2.6
Gambar 2.7
Gambar 2.8
Gambar 2.9
Gambar 2.10
Gambar 2.11
Gambar 2.12
Gambar 2.13
Gambar 2.14
Gambar 2.15
Gambar 2.16
Gambar 3.1
Gambar 3.2
Gambar 3.3
Gambar 3.4
Gambar 4.1
Gambar 4.2
Gambar 4.3
Gambar 4.4
Gambar 4.5
Gambar 4.6
Gambar 4.7
Gambar 4.8
Gambar 4.9
Gambar 4.10
Pembagian studi mekanika tanah ....................................................7
Elemen-elemen tanah tak jenuh .......................................................8
Model tanah tak jenuh (a) 4 fase; (b) 3 fase ....................................8
Tahapan perubahan konsistensi tanah .............................................9
Bagan plastisitas ............................................................................11
Diagram fase tanah ........................................................................11
Variasi nilai matric suction pada tanah terbuka. a) Musim hujan; b)
musim kering dengan muka air tanah dangkal; c) musim kering
dengan muka air tanah dalam .................................................. 16-17
Hubungan air dan udara dalam tanah ............................................18
Metode kertas filter contact dan non-contact untuk mengukur
matric suction dan total suction ....................................................21
Grafik kalibrasi suction untuk dua jenis kertas filter .....................21
Persamaan keruntuhan Mohr-Coulomb yang diperpanjang untuk
tanah tidak jenuh ............................................................................25
Garis perpotongan di sepanjang garis keruntuhan antara dengan
(ua – uw) .........................................................................................26
Perbandingan cara Fredlund dan Bishop untuk memperkirakan
kekuatan geser pada tanah tak jenuh .............................................27
Uji geser langsung (direct shear) ..................................................29
Garis keruntuhan Mohr-Coulomb yang diperpanjang dari hasil uji
geser langsung (direct shear) ........................................................30
Bentuk khas kurva pengeringan dan pembasahan ..........................31
Diagram alir penelitian ..................................................................32
Ilustrasi antara berat erlenmeyer, air dan butir tanah ..................36
Diagram fase tanah ........................................................................41
Metode kertas filter contact dan non-contact untuk mengukur total
suction dan matric suction .............................................................51
Hubungan antara kadar air (w) dan derajat kejenuhan (Sr) ...........59
Perubahan kadar air (w) rencana dari kondisi initial (wi) hingga
kondisi jenuh .................................................................................61
Perubahan berat volume dari kondisi initial (wi) hingga kondisi
jenuh ..............................................................................................61
Perubahan angka pori dari kondisi initial (wi) hingga kondisi
jenuh ...............................................................................................62
Perubahan porositas dari kondisi initial (wi) hingga kondisi jenuh 63
Perubahan derajat kejenuhan dari kondisi initial (wi) hingga kondisi
jenuh ..............................................................................................63
Perubahan berat volume (γ), angka pori (e), porositas (n) dan
derajat kejenuhan (Sr) terhadap perubahan kadar air (w) ..............64
Perubahan tegangan air pori negatif (ua – uw) terhadap kenaikan
kadar air (w) akibat proses pembasahan ........................................65
Hubungan antara strain dengan shear stress pada kondisi initial
(wi) .................................................................................................66
Garis keruntuhan kuat geser tanah pada kondisi initial (wi) ..........67
xiii
Gambar 4.11 Garis keruntuhan yang diperpanjang kondisi initial (wi) ...............68
Gambar 4.12 Hubungan antara strain dengan shear stress pada kondisi wi +
10%wi ............................................................................................69
Gambar 4.13 Garis keruntuhan kuat geser tanah pada kondisi wi + 10%wi ........69
Gambar 4.14 Garis keruntuhan yang diperpanjang kondisi wi + 10%wi .............70
Gambar 4.15 Hubungan antara strain dengan shear stress pada kondisi wi +
12%wi ............................................................................................71
Gambar 4.16 Garis keruntuhan kuat geser tanah pada kondisi wi + 12%wi ........71
Gambar 4.17 Garis keruntuhan yang diperpanjang kondisi wi + 12%wi .............72
Gambar 4.18 Hubungan antara strain dengan shear stress pada kondisi wi +
15%wi ............................................................................................73
Gambar 4.19 Garis keruntuhan kuat geser tanah pada kondisi wi + 15%wi ........73
Gambar 4.20 Garis keruntuhan yang diperpanjang kondisi wi + 15%wi .............74
Gambar 4.21 Hubungan antara strain dengan shear stress pada kondisi jenuh ..75
Gambar 4.22 Garis keruntuhan kuat geser tanah pada kondisi jenuh .................75
Gambar 4.23 Perubahan kohesi (c’) dari kondisi initial hingga kondisi jenuh ...76
Gambar 4.24 Perubahan sudut geser dalam (ϕ’) dari kondisi initial (wi) hingga
kondisi jenuh .................................................................................77
Gambar 4.25 Perubahan sudut yang menghubungkan cohesion intercept dengan
matric suction (ϕb) dari kondisi initial (wi) hingga kondisi jenuh .78
Gambar 4.26 Garis keruntuhan kuat geser tanah pada seluruh kondisi ..............79
xiv
DAFTAR TABEL
Tabel 2.1 Batasan-batasan ukuran golongan tanah .................................................6
Tabel 2.2 Nilai porositas, angka pori dan kerapatan butir (Modified from Hough,
1969) ......................................................................................................13
Tabel 2.3 Alat untuk mengukur nilai suction dan komponennya .........................19
Tabel 4.1 Some typical values for different of some common soil materials .......57
Tabel 4.2 Hubungan indeks plastisitas dengan tingkat keplastisan tanah ............58
Tabel 4.3 Hasil pengujian lama pemeraman .........................................................59
Tabel 4.4 Perubahan parameter sifat fisik tanah ...................................................60
xv
DAFTAR NOTASI
A
Area
Cm
Koreksi meniskus
Ct
Koreksi temperatur
c
Kohesi total
c’
Kohesi efektif
D
Diameter
e
Angka pori
Gs
Berat spesifik butir tanah
GT
Berat jenis air
h
Suction
Ic
Consistency Index
If
Flow Index
It
Toughness Index
LI
Liquidity Index
LL
Batas cair
M
Massa total
Ms
Massa tanah
n
Porositas
PI
Indeks plastisitas
PL
Batas plastis
R
Pembacaan hidrometer
R h’
Pembacaan hidrometer sebenarnya
r
Jari-jari dari sebuah bola ideal pada bagian bawah saluran
udara
SL
Batas susut
Sr
Derajat kejenuhan
T
Suhu
Ts
Tarikan permukaan membran
t
Waktu
ua
Tekanan udara pori
uw
Tekanan air pori
xvi
(ua – uw)
Matric suction
V
Volume total
Vs
Volume butiran padat
Vv
Volume pori
Vw
Volume air dalam pori
W
Berat total
Ws
Berat padat
Ww
Berat air
w
Kadar air
wi
Kadar air initial
wn
Kadar air alami
X
Koreksi dispersent
Zr
Effective depth
γ
Berat volume tanah
γ’
Berat volume tanah efektif
γd
Berat volume tanah kering
γw
Berat volume air
Viskositas aquades (poise)
w
Kadar air volumetrik
ρ
Kerapatan tanah
ρd
Kerapatan tanah pada kondisi kering
ρs
Kerapatan tanah basah
ρw
Kerapatan air pada pori
Tegangan normal total
’
Tegangan normal efektif
n
Tegangan normal
Tegangan geser
f
Tegangan geser saat runtuh
ϕ
Sudut geser dalam total
ϕ’
Sudut geser dalam efektif
ϕb
Sudut yang menghubungkan cohesion intercept dengan
nilai air pori negatif (suction)
χ
Parameter yang berhubungan dengan derajat kejenuhan
tanah
xvii
DAFTAR LAMPIRAN
Lampiran 1
Lampiran 2
Lampiran 3
Lampiran 4
Lampiran 5
Lampiran 6
Lampiran 7
Pengujian Specific Gravity ...............................................................83
Pengujian Hydrometer Analysis .......................................................87
Pengujian Index Properties untuk analisis lama pemeraman ..........94
Pengujian Index Properties ..............................................................97
Pengujian Atterberg Limits ............................................................103
Pengujian Soil Suction menggunakan Metode Kertas Filter ..........106
Pengujian Direct Shear ..................................................................109
xviii
LAMPIRAN
Lampiran 1 Pengujian Specific Gravity
Tabel L1.1 Data kalibrasi erlenmeyer
Determination No.
1
2
3
4
5
Wt. Bottle + Water
; W2
( gr )
756.10
758.80
760.70
762.00
763.20
Temperatur
;T
( °C )
60
55
50
45
40
Grafik Kalibrasi Erlenmeyer
765
Weight Bottle + Water ; W2 ( gram )
764
763
762
761
760
759
758
757
y = -0.348x + 777.56
R² = 0.9688
756
755
35
40
45
50
55
60
65
Temperature ; T ( °C )
Gambar L1.1 Grafik kalibrasi erlenmeyer
Tabel L1.2 Data pengujian specific gravity
Determination No.
Wt. Bottle + Water + Soil
( gr )
1
797.70
2
800.20
3
801.70
4
802.80
5
805.00
; W1
Temperatur
;T
( °C )
60
55
50
45
40
Wt. Bottle + Water
; W2
( gr )
756.10
758.80
760.70
762.00
763.20
Spec. Grav. of Water at T °C
; GT
0.9832
0.9857
0.9881
0.9902
0.9922
Spec. Grav.of Soil at T °C
; GS
2.72
2.71
2.67
2.65
2.77
83
Universitas Kristen Maranatha
Berat cawan
(W3)
= 214.70 gr
Berat cawan + tanah kering (W4)
= 279.80 gr
Berat tanah kering
= 65.10 gr
(W5)
2.72 2.71 2.67 2.65 2.77
2.71
5
Average Value of Gs =
Tabel L1.3 Specific gravity of water
°C
0
1
2
3
4
5
6
7
8
9
0
10
20
30
40
50
60
70
80
90
0.9999
0.9997
0.9982
0.9957
0.9922
0.9881
0.9832
0.9778
0.9718
0.9653
0.9999
0.9996
0.9980
0.9954
0.9919
0.9876
0.9827
0.9772
0.9712
0.9647
1.0000
0.9995
0.9978
0.9951
0.9915
0.9872
0.9822
0.9767
0.9606
0.9640
1.0000
0.9994
0.9976
0.9947
0.9911
0.9867
0.9817
0.9761
0.9699
0.9633
1.0000
0.9993
0.9973
0.9944
0.9907
0.9862
0.9811
0.9755
0.9693
0.9626
1.0000
0.9991
0.9971
0.9941
0.9902
0.9857
0.9806
0.9749
0.9686
0.9619
1.0000
0.9990
0.9968
0.9937
0.9898
0.9852
0.9800
0.9743
0.9680
0.9612
0.9999
0.9988
0.9965
0.9934
0.9894
0.9848
0.9795
0.9737
0.9673
0.9605
0.9999
0.9986
0.9963
0.9930
0.9890
0.9842
0.9789
0.9731
0.9667
0.9598
0.9999
0.9984
0.9960
0.9926
0.9885
0.9838
0.9784
0.9724
0.9660
0.9591
Tabel L1.4 Gs value of some soil
Type of Soil
Quartz sand
Silt
Clay
Chalk
Loses
Peat
Sumber: Das, M. Braja, 1985
84
Gs
2.64 – 2.66
2.67 – 2.73
2.7 – 2.9
2.6 – 2.75
2.65 – 2.73
1.3 – 1.9
Universitas Kristen Maranatha
Foto-foto alat dan proses pengujian
Gambar L1.2 Erlenmeyer
Gambar L1.3 Timbangan
Gambar L1.4 Pinggan pengaduk
Gambar L1.5 Oven
85
Universitas Kristen Maranatha
Gambar L1.6 Thermometer
Gambar L1.7 Pengujian
Specific Gravity
86
Universitas Kristen Maranatha
Lampiran 2 Pengujian Hydrometer Analysis
Data
Type of hydrometer used
= 151H-3
Correction menicus
= 0.025
Weight of soil
= 44.5 gr
γc
= 1 gr/cm3
Specific gravity of soil
( Gs ) = 2.71
Volume
= 1000 ml
Specific gravity of water
( Gt )
Koreksi dispersen
=2
= 0.9976
Tabel L2.1 Data pengujian analisis hidrometer
Elapsed time ;
t
(detik)
120
240
480
900
1800
3600
7200
14400
28800
Rh'
23.0
22.0
21.5
20.0
18.0
17.0
15.5
14.5
13.5
Rw
3.0
3.0
2.0
2.0
2.0
2.0
2.0
1.0
1.0
87
T
(°C)
23.0
23.0
23.0
22.5
22.5
22.0
22.0
21.5
21.5
Rh
23.025
22.025
21.525
20.025
18.025
17.025
15.525
14.525
13.525
Ct
(°C)
0.70
0.70
0.70
0.55
0.55
0.40
0.40
0.30
0.30
N
Zr
(%)
88.054
84.493
79.151
73.275
66.152
62.056
56.714
49.235
45.674
(cm)
10.800
11.000
11.500
11.800
12.400
12.500
13.000
13.500
13.750
Coor. R
24.725
23.725
22.225
20.575
18.575
17.425
15.925
13.825
12.825
Universitas Kristen Maranatha
k
0.01297
0.01297
0.01297
0.01305
0.01305
0.01312
0.01312
0.01320
0.01320
D
(mm)
0.0389
0.0278
0.0201
0.0149
0.0108
0.0077
0.0056
0.0040
0.0029
20
18
Kurva A untuk elapsed
time < 2 menit
16
14
Kurva B untuk elapsed
time > 2 menit
12
Zr
10
8
6
4
2
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
R
Gambar L2.1 Grafik hubungan antara R vs Zr
88
Universitas Kristen Maranatha
100
90
N (%)
80
70
60
50
40
0.1000
0.0100
0.0010
D ( diameter ) (mm)
Gambar L2.2 Grafik hubungan antara diameter ( D ) dan N
Tabel L2.2 Harga-harga faktor koreksi suhu
Suhu (°C)
Ct
Suhu (°C)
Ct
15
-1.10
24
+1.00
17
-0.90
25
+1.30
18
-0.70
26
+1.66
19
-0.50
27
+2.00
20
0.00
28
+2.50
21
+0.20
29
+3.50
22
+0.40
30
+3.80
23
+0,70
Sumber: G. Djatmiko Soedarmo dkk, 1977:79
89
Universitas Kristen Maranatha
Tabel L2.3 Koreksi K
Temperature
(°C)
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Specific Gravity of Soil Particles
2.55
2.60
2.65
2.70
2.75
2.45
2.50
2.80
2.85
0.01510
0.01505
0.01481
0.01457
0.01435
0.01414
0.01511
0.01486
0.01462
0.01439
0.01427
0.01396
0.01394
0.01374
0.01356
0.01376
0.01356
0.01338
0.01492
0.01467
0.01443
0.01421
0.01399
0.01474
0.01449
0.01425
0.01403
0.01382
0.01378
0.01359
0.01339
0.01321
0.01361
0.01342
0.01323
0.01305
0.01456
0.01431
0.01408
0.01386
0.01365
0.01344
0.01325
0.01307
0.01289
0.01438
0.01414
0.01391
0.01421
0.01397
0.01374
0.01369
0.01348
0.01328
0.01309
0.01291
0.01273
0.01353
0.01332
0.01312
0.01294
0.01276
0.01258
0.01404
0.01381
0.01388
0.01365
0.01358
0.01337
0.01317
0.01297
0.01279
0.01261
0.01243
0.01342
0.01321
0.01301
0.01282
0.01264
0.01246
0.01229
0.01372
0.01357
0.01349
0.01327
0.01306
0.01286
0.01267
0.01249
0.01232
0.01215
0.01334
0.01312
0.01291
0.01272
0.01253
0.01235
0.01218
0.01201
0.01342
0.01319
0.01297
0.01277
0.01258
0.01239
0.01221
0.01204
0.01188
0.01327
0.01304
0.01283
0.01264
0.01244
0.01225
0.01208
0.01191
0.01175
0.01312
0.01290
0.01269
0.01249
0.01230
0.01212
0.01195
0.01178
0.01162
0.01298
0.01276
0.01256
0.01236
0.01217
0.01199
0.01182
0.01165
0.01149
90
Universitas Kristen Maranatha
Gambar L2.3 Flow chart for classifiying fine-grained soil (50% or more passes no. 200 sieve)
91
Universitas Kristen Maranatha
Foto-foto alat dan proses pengujian
Gambar L2.4 Hidrometer
Gambar L2.6 Mixer
Gambar L2.5 Gelas pengukur
volume 1000 cc
Gambar L2.7 Sodium Hexametafosfat
92
Universitas Kristen Maranatha
Gambar L2.8 Tapis no. 200
Gambar L2.10 Pembacaan
hidrometer dan temperatur pada
kondisi suspensi dispersi total
Gambar L2.9 Stopwatch
Gambar L2.11 Pembacaan hidrometer
dan temperatur pada suspensi
dan bak ukur
93
Universitas Kristen Maranatha
Lampiran 3 Pengujian Index Properties untuk analisis lama pemeraman
Tabel L3.1 Data pengujian index properties kondisi wi + 20%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.35
2.55
31.67
80.76
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
82.00
82.00
82.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
277.40
279.70
281.80
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
229.00
230.60
232.00
Wt. of Ring + Dry Soil
; W5
( gr )
166.00
166.30
166.00
Wt. of Wet Soil
;W
( gr )
132.40
133.40
133.80
Wt. of Water
; WW
( gr )
48.40
49.10
49.80
Wt. of Dry Soil
; WS
( gr )
84.00
84.30
84.00
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
57.62
80.76
1.64
1.61
0.62
58.24
80.76
1.65
1.60
0.61
59.29
80.76
1.66
1.61
0.62
Degree of Saturation
; Sr
(%)
97.27
98.89
100.08
94
Universitas Kristen Maranatha
Tabel L3.2 Data pengujian index properties kondisi wi + 40%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.50
2.56
33.18
84.85
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
98.00
98.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
301.90
306.50
310.30
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
247.70
250.10
252.40
Wt. of Ring + Dry Soil
; W5
( gr )
184.70
185.80
186.40
Wt. of Wet Soil
;W
( gr )
140.90
144.20
146.30
Wt. of Water
; WW
( gr )
54.20
56.40
57.90
Wt. of Dry Soil
; WS
( gr )
86.70
87.80
88.40
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
62.51
84.85
1.66
1.65
0.62
64.24
84.85
1.70
1.62
0.62
65.50
84.85
1.72
1.60
0.62
Degree of Saturation
; Sr
(%)
102.54
107.53
110.86
95
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Tabel L3.3 Data pengujian index properties kondisi wi + 60%wi
Lama Pemeraman
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
1 Hari
2 Hari
A
6.35
2.55
31.67
80.76
3 Hari
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
82.00
82.00
82.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
290.60
294.80
300.30
Wt. of Dish
; W3
( gr )
63.00
64.30
66.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
229.80
231.10
233.70
Wt. of Ring + Dry Soil
; W5
( gr )
166.80
166.80
167.70
Wt. of Wet Soil
;W
( gr )
145.60
148.50
152.30
Wt. of Water
; WW
( gr )
60.80
63.70
66.60
Wt. of Dry Soil
; WS
( gr )
84.80
84.80
85.70
Specific Gravity of Soil at T °C
; GS
2.71
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
71.70
80.76
1.80
1.58
0.61
75.12
80.76
1.84
1.58
0.61
77.71
80.76
1.89
1.55
0.61
Degree of Saturation
; Sr
(%)
122.92
128.78
135.55
96
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Lampiran 4 Pengujian Index Properties
Tabel L4.1 Data pengujian index properties kondisi initial ( wi )
Determination No.
Ring No.
1
A
2
B
Wt. of Ring
; W1
( gr )
82.00
98.00
Diameter of Ring
;d
( cm )
6.35
6.50
Height of Ring
;t
( cm )
2.55
2.56
Area of Ring
;A
( cm² )
31.67
33.18
Volume of Ring
;V
( cm³ )
80.76
84.85
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
266.40
286.70
Wt. of Dish
; W3
( gr )
58.00
63.80
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
225.10
244.60
Wt. of Ring + Dry Soil
; W5
( gr )
167.10
180.80
Wt. of Wet Soil
;W
( gr )
126.40
124.90
Wt. of Water
; WW
( gr )
41.30
42.10
Wt. of Dry Soil
; WS
( gr )
85.10
82.80
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
48.53
80.76
1.57
1.57
0.61
50.85
84.85
1.47
1.78
0.64
Degree of Saturation
; Sr
(%)
83.68
77.54
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 49.69 %
γ
= 1.52 gr/cm3
e
= 1.67
n
= 0.63
Sr
= 80.61 %
1.52
1.015 gr/cm3
(1 0.4969)
= 1.52 – 1.00
= 0.52 gr/cm3 = 0.52 t/m3
97
Universitas Kristen Maranatha
Tabel L4.2 Data pengujian index properties kondisi wi + 10%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
271.50
289.50
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
226.30
244.90
Wt. of Ring + Dry Soil
; W5
( gr )
162.00
181.90
Wt. of Wet Soil
;W
( gr )
125.20
128.50
Wt. of Water
; WW
( gr )
45.20
44.60
Wt. of Dry Soil
; WS
( gr )
80.00
83.90
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
56.50
80.76
1.55
1.74
0.63
53.16
84.85
1.51
1.74
0.64
Degree of Saturation
; Sr
(%)
88.22
82.76
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 54.83 %
γ
= 1.53 gr/cm3
e
= 1.74
n
= 0.63
Sr
= 85.49 %
1.53
0.988 gr/cm3
(1 0.5483)
= 1.53 – 1.00
= 0.53 gr/cm3 = 0.53 t/m3
98
Universitas Kristen Maranatha
Tabel L4.3 Data pengujian index properties kondisi wi + 12%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
272.80
291.90
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
227.40
245.10
Wt. of Ring + Dry Soil
; W5
( gr )
163.10
182.10
Wt. of Wet Soil
;W
( gr )
126.50
130.90
Wt. of Water
; WW
( gr )
45.40
46.80
Wt. of Dry Soil
; WS
( gr )
81.10
84.10
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
55.98
80.76
1.57
1.70
0.63
55.65
84.85
1.54
1.73
0.63
Degree of Saturation
; Sr
(%)
89.32
86.96
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 55.81 %
γ
= 1.55 gr/cm3
e
= 1.72
n
= 0.63
Sr
= 88.14 %
1.55
0.995 gr/cm3
(1 0.5581)
= 1.55 – 1.00
= 0.55 gr/cm3 = 0.55 t/m3
99
Universitas Kristen Maranatha
Tabel L4.4 Data pengujian index properties kondisi wi + 15%wi
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
1
A
6.35
2.55
31.67
80.76
2
B
6.50
2.56
33.18
84.85
;d
;t
;A
Volume of Ring
Wt. of Ring
; W1
( gr )
82.00
98.00
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
274.30
294.30
Wt. of Dish
; W3
( gr )
64.30
63.00
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
228.40
245.30
Wt. of Ring + Dry Soil
; W5
( gr )
164.10
182.30
Wt. of Wet Soil
;W
( gr )
128.00
133.30
Wt. of Water
; WW
( gr )
45.90
49.00
Wt. of Dry Soil
; WS
( gr )
82.10
84.30
Specific Gravity of Soil at T °C
; GS
2.71
2.71
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
55.91
80.76
1.59
1.67
0.62
58.13
84.85
1.57
1.73
0.63
Degree of Saturation
; Sr
(%)
90.96
91.18
Average Value
(1 w)
γd
=
γ'
= γ – γw
w
= 57.02 %
γ
= 1.58 gr/cm3
e
= 1.70
n
= 0.63
Sr
= 91.07 %
1.58
1.006 gr/cm3
(1 0.5702)
= 1.58 – 1.00
= 0.58 gr/cm3 = 0.58 t/m3
100
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Tabel L4.5 Data pengujian index properties kondisi jenuh
Determination No.
Ring No.
Diameter of Ring
Height of Ring
Area of Ring
;d
;t
;A
Volume of Ring
;V
( cm )
( cm )
( cm² )
( cm³ )
Wt. of Ring
; W1
( gr )
Wt. of Dish + Ring + Wet Soil
; W2
( gr )
Wt. of Dish
; W3
( gr )
Wt. of Dish + Ring + Dry Soil
; W4
( gr )
Wt. of Ring + Dry Soil
; W5
( gr )
Wt. of Wet Soil
;W
( gr )
Wt. of Water
; WW
( gr )
Wt. of Dry Soil
; WS
( gr )
Specific Gravity of Soil at T °C
; GS
Water Content
Volume of Soil
Unit Wt. of Soil
Void Ratio
Porositas
;w
;V
;γ
;e
;n
(%)
( cm³ )
( gr/cm³ )
Degree of Saturation
; Sr
(%)
Value
(1 w)
γd
=
γ'
= γ – γw
w
= 65.32 %
γ
= 1.63 gr/cm3
e
= 1.75
n
= 0.64
Sr
= 101.18 %
1
B
6.50
2.56
33.18
84.85
98.00
299.30
63.00
244.70
181.70
138.30
54.60
83.70
2.71
65.23
84.85
1.63
1.75
0.64
101.18
1.63
0.986 gr/cm3
(1 0.6532)
= 1.63 – 1.00
= 0.63 gr/cm3 = 0.63 t/m3
101
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Foto-foto alat dan proses pengujian
Gambar L4.1 Silinder ring
pencetak tanah
Gambar L4.2 Extruder
Gambar L4.3 Jangka sorong
Gambar L4.4 Desikator
Gambar L4.5 Gergaji kawat
Gambar L4.6 Contoh tanah
setelah dicetak pada ring
102
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Lampiran 5 Pengujian Atterberg Limits
Tabel L5.1 Data pengujian kadar air alami
Container No.
C-11
Wt. of Container
; W1
( gr )
21.50
Wt. Cont + Wet Soil
; W2
( gr )
31.50
Wt. Cont + Dry Soil
; W3
( gr )
28.20
Wt. of Water
; WW
( gr )
3.30
Wt. of Dry Soil
; WS
( gr )
6.70
WATER CONTENT
;w
(%)
49.25
Tabel L5.2 Data pengujian batas cair (liquid limit)
Container No.
T-2
T-5
T-6
T-8
T-9
Wt. of Container
; W1
( gr )
10.00
9.20
10.00
10.00
10.00
Wt. Cont + Wet Soil
; W2
( gr )
20.00
19.20
20.00
20.00
20.00
Wt. Cont + Dry Soil
; W3
( gr )
15.90
15.20
16.20
16.30
16.60
Wt. of Water
; WW
( gr )
4.10
4.00
3.80
3.70
3.40
Wt. of Dry Soil
; WS
( gr )
5.90
6.00
6.20
6.30
6.60
WATER CONTENT
;w
;N
(%)
69.49
15
66.67
18
61.29
25
58.73
30
51.52
35
NUMBER OF BLOWS
FLOW CHART CURVE (KURVA ALIR)
75
Water Content ; w (%)
70
65
W25 = 60,28%
60
W30 = 56,73%
y = -19.47ln(x) + 122.95
W35 = 53,73%
55
50
10
25
30
35
100
Number of Blow ; N
Gambar L5.1 Grafik hubungan antara jumlah pukulan vs kadar air
103
Universitas Kristen Maranatha
Tabel L5.3 Data pengujian batas plastis (plastic limit)
Container No.
D-21
D-22
Wt. of Container
; W1
( gr )
14.50
14.70
Wt. Cont + Wet Soil
; W2
( gr )
24.50
24.70
Wt. Cont + Dry Soil
; W3
( gr )
21.60
22.00
Wt. of Water
; WW
( gr )
2.90
2.70
Wt. of Dry Soil
; WS
( gr )
7.10
7.30
WATER CONTENT
;w
(%)
40.85
36.99
80
70
CH atau OH
PLASTICITY INDEX ; PI (%)
60
-50
50
40
30
CL atau OL
20
10
atau OL
SL = ML
27,09%
0
-40
-30
-20
-10-10 0
MH atau OH
10
20
30
40
50
60
70
80
90
100
-20
-30
-40
-50
LIQUID LIMIT ; LL (%)
Gambar L5.2 Bagan plastisitas
Keterangan
:
CH
= Lempung Anorganik dengan Plastisitas Tinggi
MH
= Lanau Elastis atau Tanah Pasiran/Lanauan
OH
= Lempung Organik dengan Plastisitas Sedang sampai Tinggi
CL
= Lempung Anorganik dengan Plastisitas Rendah sampai Sedang;
Lempung Berkerikil; Lempung Berpasir; Lempung Lanauan
ML
= Lanau Anorganik dan Pasir Sangat Halus; Pasir Halus Berlanau atau
Berlempung dengan Plastisitas Rendah
OL
= Lanau Anorganik dan Lanau-Lempung Organik dengan Plastisitas
Rendah
104
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Tabel L5.4 Harga PI, LI, If, It dan Ic
LL
PL
SL
PI
Wn
LI
If
SUMMARY
;(%)
;(%)
;(%)
;(%)
;(%)
61.54
38.92
27.09
22.62
49.25
0.46
44.83
It
0.50
Ic
0.54
Foto-foto alat dan proses pengujian
Gambar L5.3 Alat Cassagrande
Gambar L5.4 Groving tool
Gambar L5.5 Container
Gambar L5.6 Scrapper
105
Universitas Kristen Maranatha
Lampiran 6 Soil Suction Measurement Using Filter Paper Method
Tabel L6.1 Data pengujian matric suction
Condition
Moisture Tin No.
Cold Tare Mass (g)
Mass of Wet Filter Paper + Cold Tare Mass (g)
Mass of Dry Filter Paper + Cold Tare Mass (g)
Hot Tare Mass (g)
Mass of Dry Filter Paper (g)
Mass of Water in Filter Paper (g)
Filter Paper Water Content (%)
Suction (kPa)
Suction (Kg/cm²)
106
Tc
M1
M2
Th
Mf
Mw
w
h
h
Initial (wi)
1
20.1856
20.6502
20.4675
20.1856
0.2819
0.1827
64.8102
34.4399
0.3512
wi+10%wi
2
19.3542
19.6919
19.5492
19.3542
0.195
0.1427
73.1795
26.5507
0.2707
Universitas Kristen Maranatha
wi+12%wi
3
18.4929
18.8328
18.6732
18.4929
0.1803
0.1596
88.5191
16.4813
0.1681
wi+15%wi
4
19.0308
19.5824
19.3141
19.0308
0.2833
0.2683
94.7053
13.5981
0.1387
Gambar L6.1 Grafik hubungan kadar air vs nilai suction pada jenis kertas
filter tertentu
Foto-foto alat dan proses pengujian
Gambar L6.2 Kertas filter
Gambar L6.3 Tabung kaca
107
Universitas Kristen Maranatha
Gambar L6.4 Timbangan dengan
Gambar L6.5 Wadah aluminium
ketelitian 0.0001 gr
Gambar L6.6 Penyiapan benda uji
untuk metode contact
Gambar L6.7 Bahan uji yang
sedang didiamkan sampai
kondisi keseimbangan dicapai
108
Universitas Kristen Maranatha
Lampiran 7 Pengujian Direct Shear
Lampiran 7.1 Direct Shear kondisi initial
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.1
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66.7
gr
Wt. cont + wet soil
( W2 ) = 184
gr
Wt. cont + dry soil
( W3 ) = 145.2
gr
Wt. of water
( Ww ) = 38.8
gr
Wt. of dry soil
( Ws ) = 78.5
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.699
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 83.931
= 49.43
109
%
Universitas Kristen Maranatha
Tabel L7.1 Data pengujian direct shear kondisi initial dengan σn = 0.1 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.7573
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
6
11
19
26
34
41
49
59
68
76
86
92
100
105
110
114
116
120
122
123
124
124
124
124
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
14
19
21.5
27
31
32.5
34.5
35
33.5
34
38
39
38
36
34
32
31
33.5
41
40.5
35
28
25
22
4.138
5.616
6.355
7.981
9.164
9.607
10.198
10.346
9.903
10.050
11.233
11.528
11.233
10.642
10.050
9.459
9.164
9.903
12.120
11.972
10.346
8.277
7.390
6.503
0.131
0.178
0.201
0.253
0.290
0.304
0.323
0.328
0.313
0.318
0.356
0.365
0.356
0.337
0.318
0.299
0.290
0.313
0.384
0.379
0.328
0.262
0.234
0.206
Displacement
0.0024
0.0043
0.0075
0.0102
0.0134
0.0161
0.0193
0.0232
0.0268
0.0299
0.0339
0.0362
0.0394
0.0413
0.0433
0.0449
0.0457
0.0472
0.0480
0.0484
0.0488
0.0488
0.0488
0.0488
Strain
9.61
3.486 %/min
ElapsedTim e 2.7573
110
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.5000
Shear Stress (Kg/cm2)
0.4000
0.388 Kg/cm
2
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
Strain (%)
Gambar L7.1 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.1 Kg/cm2
111
Universitas Kristen Maranatha
10.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.2
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 62.7
gr
Wt. cont + wet soil
( W2 ) = 182
gr
Wt. cont + dry soil
( W3 ) = 142.65
gr
Wt. of water
( Ww ) = 39.35
gr
Wt. of dry soil
( Ws ) = 79.95
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.700
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 83.577
= 49.22
112
%
Universitas Kristen Maranatha
Tabel L7.2 Data pengujian direct shear kondisi initial dengan σn = 0.2 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.9053
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
1
1
0.5
1
2
3.5
5
7
9.5
12
19
21
29
22
25
26
27
28
39.5
44.5
50
54.5
60
65.5
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
13
21
26.5
27
25
26
27
28.5
29
28.5
28
29
30
30.5
34
42
44
39.5
39
38
37.5
35.5
34
32
3.843
6.208
7.833
7.981
7.390
7.686
7.981
8.425
8.572
8.425
8.277
8.572
8.868
9.016
10.050
12.415
13.006
11.676
11.528
11.233
11.085
10.494
10.050
9.459
0.122
0.197
0.248
0.253
0.234
0.243
0.253
0.267
0.271
0.267
0.262
0.271
0.281
0.285
0.318
0.393
0.412
0.370
0.365
0.356
0.351
0.332
0.318
0.299
Displacement
0.0004
0.0004
0.0002
0.0004
0.0008
0.0014
0.0020
0.0028
0.0037
0.0047
0.0075
0.0083
0.0114
0.0087
0.0098
0.0102
0.0106
0.0110
0.0156
0.0175
0.0197
0.0215
0.0236
0.0258
Strain
9.61
3.308 %/min
ElapsedTim e 2.9053
113
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.5000
0.412 Kg/cm
2
Shear Stress (Kg/cm2)
0.4000
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
Strain (%)
Gambar L7.2 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.2 Kg/cm2
114
Universitas Kristen Maranatha
10.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.3
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 63.5
gr
Wt. cont + wet soil
( W2 ) = 195
gr
Wt. cont + dry soil
( W3 ) = 150.9
gr
Wt. of water
( Ww ) = 44.1
gr
Wt. of dry soil
( Ws ) = 87.4
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.694
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 85.682
= 50.46
115
%
Universitas Kristen Maranatha
Tabel L7.3 Data pengujian direct shear kondisi initial dengan σn = 0.3 Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
3.0343
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
250
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
10.01
10.01
5
9
15
14
14
14
12
10
8
7
6
4
4
2
2
2
2
2
2
2
1
1
1
1
1
1
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
17
25
32
38
41
47
51
55
57
58
58
58
60
60.5
59
57
54
52.5
56
63
70
67
62
57
54
51
5.025
7.390
9.459
11.233
12.120
13.893
15.076
16.258
16.849
17.145
17.145
17.145
17.736
17.884
17.440
16.849
15.962
15.519
16.554
18.623
20.692
19.805
18.327
16.849
15.962
15.076
0.159
0.234
0.299
0.356
0.384
0.440
0.477
0.515
0.533
0.543
0.543
0.543
0.561
0.566
0.552
0.533
0.505
0.491
0.524
0.590
0.655
0.627
0.580
0.533
0.505
0.477
Displacement
0.0020
0.0035
0.0059
0.0055
0.0055
0.0055
0.0047
0.0039
0.0031
0.0028
0.0024
0.0016
0.0016
0.0008
0.0008
0.0008
0.0008
0.0008
0.0008
0.0008
0.0004
0.0004
0.0004
0.0004
0.0004
0.0004
Strain
10.01
3.300 %/min
ElapsedTim e 3.0343
116
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.7000
Shear Stress (Kg/cm2)
0.6000
0.655 Kg/cm
2
0.5000
0.4000
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
10.00
11.00
Strain (%)
Gambar L7.3 Grafik hubungan strain vs shear stress kondisi initial dengan σn = 0.3 Kg/cm2
117
Universitas Kristen Maranatha
12.00
Lampiran 7.2 Direct Shear kondisi wi + 10%wi
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.1
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66
gr
Wt. cont + wet soil
( W2 ) = 178.5
gr
Wt. cont + dry soil
( W3 ) = 138.8
gr
Wt. of water
( Ww ) = 39.7
gr
Wt. of dry soil
( Ws ) = 72.8
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.676
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 92.6025
= 54.53
118
%
Universitas Kristen Maranatha
Tabel L7.4 Data pengujian direct shear kondisi wi + 10%wi dengan σn = 0.1
Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.823
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
9.61
10.01
8
11
13
16
17
19
19
18
18
17
17
15
11
10
6
4
3
1
4
10
15
20
25
30
36
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
5
5
7
10
11
12
12
12
13
15.5
16
17.5
18
18.5
19
19.5
23
29
39
37
33
30.5
28
26.5
25
1.478
1.478
2.069
2.956
3.252
3.547
3.547
3.547
3.843
4.582
4.730
5.173
5.321
5.469
5.616
5.764
6.799
8.572
11.528
10.937
9.755
9.016
8.277
7.833
7.390
0.047
0.047
0.066
0.094
0.103
0.112
0.112
0.112
0.122
0.145
0.150
0.164
0.168
0.173
0.178
0.182
0.215
0.271
0.365
0.346
0.309
0.285
0.262
0.248
0.234
Displacement
0.0031
0.0043
0.0051
0.0063
0.0067
0.0075
0.0075
0.0071
0.0071
0.0067
0.0067
0.0059
0.0043
0.0039
0.0024
0.0016
0.0012
0.0004
0.0016
0.0039
0.0059
0.0079
0.0098
0.0118
0.0142
10.01
Strain
3.547 %/min
ElapsedTim e 2.823
119
Universitas Kristen Maranatha
Grafik Hubungan Strain vs. Shear Stress
0.4000
0.368 Kg/cm
2
Shear Stress (Kg/cm2)
0.3000
0.2000
0.1000
0.0000
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
10.00
11.00
Strain (%)
Gambar L7.4 Grafik hubungan strain vs shear stress kondisi wi + 10%wi dengan σn = 0.1 Kg/cm2
120
Universitas Kristen Maranatha
12.00
Data pengujian
Diameter
(D)
= 6.342
cm
Height
(t)
= 2.540
cm
Area
(A)
= 31.589
cm2
Volume
(V)
= 80.237
cm3
Normal stress
( σn )
= 0.2
Kg/cm2
= 0.2956
Kg/div
Ring constant
Soil specimen properties
Container no
=1
Wt. of container
( W1 ) = 66
gr
Wt. cont + wet soil
( W2 ) = 194.6
gr
Wt. cont + dry soil
( W3 ) = 149
gr
Wt. of water
( Ww ) = 45.6
gr
Wt. of dry soil
( Ws ) = 83
gr
Water content
(w)
%
Wet density
( γwet ) = 1.044
gr/cm3
Dry density
( γdry ) = 0.674
gr/cm3
Angka pori
(e)
= 1.596
Porositas
(n)
= 0.615
Derajat kejenuhan
( Sr )
= 93.293
= 54.94
121
%
Universitas Kristen Maranatha
Tabel L7.5 Data pengujian direct shear kondisi wi + 10%wi dengan σn = 0.2
Kg/cm2
Elapsed
Time
(minute)
Horizontal
Dial
(0,0254
mm)
2.646
Strain rate
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
=
Strain
Vertical
Dial
(%)
(0,01 mm)
0.40
0.80
1.20
1.60
2.00
2.40
2.80
3.20
3.60
4.01
4.41
4.81
5.21
5.61
6.01
6.41
6.81
7.21
7.61
8.01
8.41
8.81
9.21
5
10
18
25
29
31.5
34
36
38
39
40
39.5
39.5
39
37
35
35
34
32
31
29.5
28
25.5
Vertical
Proving
Ring Dial
Shear
Force
Shear
Stress
(div)
(Kg)
(Kg/cm²)
18.5
21
24
27.5
31.5
30
29.5
33.5
35
39
41.5
44
50
53
48
46.5
48
47.5
45.5
44
42
40.5
39.5
5.469
6.208
7.094
8.129
9.311
8.868
8.720
9.903
10.346
11.528
12.267
13.006
14.780
15.667
14.189
13.745
14.189
14.041
13.450
13.006
12.415
11.972
11.676
0.173
0.197
0.225
0.257
0.295
0.281
0.276
0.313
0.328
0.365
0.388
0.412
0.468
0.496
0.449
0.435
0.449
0.444
0.426
0.412
0.393
0.379
0.370
Displacement
0.0020
0.0039
0.0071